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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 23 to 25 , complete a paragraph proof.

Given: Tangent A B ¯ to ο at point B
m A = m B
Prove: m B D = 2 m B C

Chapter 6.2, Problem 23E, In Exercises 23 to25, complete a paragraph proof. Given: Tangent AB to  at point B mA=mB Prove:

To determine

To find:

The prove mBD=2mBC.

Explanation

Calculation:

Given,

mA=mB.

To prove: mBD=2mBC.

Since, Tangent AB¯ to ο at point B.

A is a tangent-secant angle, mA=mBDmBC2.

B has the vertex on the circle and is a chord-tangent angle, mB=mBC2.

Given,

mA=mB

Substitute the values of mA and mB in mA=mB

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